What is the Least Common Multiple of 16374 and 16383?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 16374 and 16383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16374 and 16383, than apply into the LCM equation.

GCF(16374,16383) = 3
LCM(16374,16383) = ( 16374 × 16383) / 3
LCM(16374,16383) = 268255242 / 3
LCM(16374,16383) = 89418414

Least Common Multiple (LCM) of 16374 and 16383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16374 and 16383. First we will calculate the prime factors of 16374 and 16383.

Prime Factorization of 16374

Prime Factorization of 16383

Now multiplying the highest exponent prime factors to calculate the LCM of 16374 and 16383.

LCM(16374,16383) = 2¹ × 3¹ × 2729¹ × 43¹ × 127¹
LCM(16374,16383) = 89418414